Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression ...Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression of transcendental notion of nature. Secondly, in Henderson the Rain King Bellow also inherits the legacy of American transcendentalism as the emphasis of spirit or the oversoul. Thirdly, Bellow values individuality as highly as his literary predecessor Emerson did, however, in this novel he discards individualism. As Bellow＇s first mature novel, Henderson the Rain King reflects Bellow＇s attitude toward the tradition of American Transcendentalism： acceptance and surpass.展开更多
Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe tha...Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe that Dickinson is a real romantic but others think she is a transcendentalist. However, both the factors of romanticism and transcendentalism can be seen in her character indeed. Romantic factors include individualism in her personality and her escaping from society. Transcendental factors are oversoul and mysticalness. If all the factors are taken into account, Emily Dickinson can fall into the category of both romanticism and transcendentalism.展开更多
Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transce...Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transcendentalism.This paper intends to analyze the spirit of the March family in the view of self-reliance and gives the public a sense of love and unity,and it will make people get a better understanding of the theme.展开更多
In this paper,we will prove that the system of differential-difference equations{((f(z)f′(z))^(n)+p^(2)_(1)(z)g m(z+η)=Q1(z),(g(z)g′(z))^(n)+p^(2)_(2)(z)f m(z+η)=Q_(2)(z),has no transcendental entire solution(f(z)...In this paper,we will prove that the system of differential-difference equations{((f(z)f′(z))^(n)+p^(2)_(1)(z)g m(z+η)=Q1(z),(g(z)g′(z))^(n)+p^(2)_(2)(z)f m(z+η)=Q_(2)(z),has no transcendental entire solution(f(z),g(z))withρ(f,g)<∞such thatλ(f)<ρ(f)andλ(g)<ρ(g),where P_(1()z),Q_(1)(z),P_(2)(z)and Q_(2)(z)are non-vanishing polynomials.展开更多
In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The prop...In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The properties on the radial distribution,the limit direction of the Julia set and the existence of a Baker wandering domain of the entire solutions are also discussed.展开更多
A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but ...A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but staunch position as a pessimist.Meanwhile, following the discussions about Melville and other writers, his influences of pessimistic ideas and belief in evil allow of no doubt. Subsequently, through an inquisition to the roots of this tragic attitude, his standpoint is found to be inevitable.展开更多
Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is...Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p ≥2 and a(≠0) ∈ C .展开更多
Looking back at the history of landscape design, there are various styles and schools as well as numerous design concepts. From the perspective of philosophical epistemology, landscape design has experienced three per...Looking back at the history of landscape design, there are various styles and schools as well as numerous design concepts. From the perspective of philosophical epistemology, landscape design has experienced three periods, namely, apriorism, empiricism and transcendentalism. Combining the design phenomena in the history of garden design, this paper sorted out the evolution of landscape design in terms of methodology, epistemology and instrumentalism, in order to speculate on the macroscopic trajectory of the evolution of landscape cognitive model.展开更多
Although Emerson, Thoreau and Hawthorne were all influenced by transcendentalism, they have different understanding of and attitudes towards nature and the concept of transcendentalism because of their cultural backgr...Although Emerson, Thoreau and Hawthorne were all influenced by transcendentalism, they have different understanding of and attitudes towards nature and the concept of transcendentalism because of their cultural background. Through analyzing similarities and differences of their points of view of nature, people can find that they understand nature with an increasingly deeper tendency. Firstly, Emerson only knew that people could get comfort from nature in the spiritual world, and then Thoreau found out that people could make use of nature from a more substantial way. At last, Hawthorne set a dialectical view of how people should live with nature. As a result, people learn what kind of relationship people should set with nature. Not only can people benefit from nature in their spiritual world, but also they make use of resources in it. This is the reason why people should protect nature during the process of utilizing it.展开更多
In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional dec...In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modesⅠand Ⅱ using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors K_Ⅰ and K_Ⅱ, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.展开更多
By using the Nevanlinna value distribution theory, we will mainly investigate the form of entire solutions with finite order on a type of system of differential-difference equations and a type of differential-differen...By using the Nevanlinna value distribution theory, we will mainly investigate the form of entire solutions with finite order on a type of system of differential-difference equations and a type of differential-difference equations, two interesting results are obtained. And it extends some results concerning complex differential（difference） equations to the systems of differential-difference equations.展开更多
For solving nonlinear and transcendental equation f(x)=0 , a singnificant improvement on Newton's method is proposed in this paper. New “Newton Like” methods are founded on the basis of Liapunov's methods...For solving nonlinear and transcendental equation f(x)=0 , a singnificant improvement on Newton's method is proposed in this paper. New “Newton Like” methods are founded on the basis of Liapunov's methods of dynamic system. These new methods preserve quadratic convergence and computational efficiency of Newton's method, and remove the monotoneity condition imposed on f(x):f′(x)≠0 .展开更多
In 1965 Baker first considered the distribution of Julia sets of transcendental entire maps and proved that the Julia set of an entire map cannot be contained in any finite set of straight lines.In this paper we shall...In 1965 Baker first considered the distribution of Julia sets of transcendental entire maps and proved that the Julia set of an entire map cannot be contained in any finite set of straight lines.In this paper we shall consider the distribution problem of Julia sets of meromorphic maps.We shall show that the Julia set of a transcendental meromorphic map with at most finitely many poles cannot be contained in any finite set of straight lines.Meanwhile,examples show that the Julia sets of meromorphic maps with infinitely many poles may indeed be contained in straight lines.Moreover,we shall show that the Julia set of a transcendental analytic self-map of C*can neither contain a free Jordan arc nor be contained in any finite set of straight lines.展开更多
The wavelet multiresolution interpolation for continuous functions defined on a finite interval is developed in this study by using a simple alternative of transformation matrix.The wavelet multiresolution interpolati...The wavelet multiresolution interpolation for continuous functions defined on a finite interval is developed in this study by using a simple alternative of transformation matrix.The wavelet multiresolution interpolation Galerkin method that applies this interpolation to represent the unknown function and nonlinear terms independently is proposed to solve the boundary value problems with the mixed Dirichlet-Robin boundary conditions and various nonlinearities,including transcendental ones,in which the discretization process is as simple as that in solving linear problems,and only common two-term connection coefficients are needed.All matrices are independent of unknown node values and lead to high efficiency in the calculation of the residual and Jacobian matrices needed in Newton’s method,which does not require numerical integration in the resulting nonlinear discrete system.The validity of the proposed method is examined through several nonlinear problems with interior or boundary layers.The results demonstrate that the proposed wavelet method shows excellent accuracy and stability against nonuniform grids,and high resolution of localized steep gradients can be achieved by using local refined multiresolution grids.In addition,Newton’s method converges rapidly in solving the nonlinear discrete system created by the proposed wavelet method,including the initial guess far from real solutions.展开更多
Let q be a finite nonzero complex number,let the q-difference equation f(qz)f(z/p)=R(z,f(z))=P(z,f(z))/Q(z,f(z))=Σ_(j=0)^(p)=0aj(z)f^(j)(z)/Σ_(k=0)b_(k)(z)f^(k)(z)(+)admit a nonconstant meromorphic solution f,where ...Let q be a finite nonzero complex number,let the q-difference equation f(qz)f(z/p)=R(z,f(z))=P(z,f(z))/Q(z,f(z))=Σ_(j=0)^(p)=0aj(z)f^(j)(z)/Σ_(k=0)b_(k)(z)f^(k)(z)(+)admit a nonconstant meromorphic solution f,where p and q are nonnegative integers,a_(j)with 0≤j≤p and b_(k)with 0≤k≤q polynomials in zwith a_(p)≠0 and b_(q)≠0 such that P(z,f(z))and Q(z,f(z))are relatively prime polynomials in f(z)and let m=p-q≥3.Then,(+)has no transcendental meromorphic solution when|q|=1,and the lower bound of the lower order of f is obtained when m≥3 and |q|≠1.展开更多
文摘Related to the basic features of Emerson＇s theories of Transcendentalism, the exploration of the novel in this thesis goes on three aspects. First, Bellow＇s concept of nature adopted in this novel is an expression of transcendental notion of nature. Secondly, in Henderson the Rain King Bellow also inherits the legacy of American transcendentalism as the emphasis of spirit or the oversoul. Thirdly, Bellow values individuality as highly as his literary predecessor Emerson did, however, in this novel he discards individualism. As Bellow＇s first mature novel, Henderson the Rain King reflects Bellow＇s attitude toward the tradition of American Transcendentalism： acceptance and surpass.
文摘Emily Dickinson is one of the most widely read and well-known American poets. Although there were just seven poems published during her lifetime, she was brought to many people's attention. Some people believe that Dickinson is a real romantic but others think she is a transcendentalist. However, both the factors of romanticism and transcendentalism can be seen in her character indeed. Romantic factors include individualism in her personality and her escaping from society. Transcendental factors are oversoul and mysticalness. If all the factors are taken into account, Emily Dickinson can fall into the category of both romanticism and transcendentalism.
文摘Transcendentalism is the most significant movement in American literature.In Little Women,"self-reliance"plays an important role in forming the theme of this novel,which is a major idea in Emerson’s Transcendentalism.This paper intends to analyze the spirit of the March family in the view of self-reliance and gives the public a sense of love and unity,and it will make people get a better understanding of the theme.
基金Supported by the National Natural Science Foundation of China(Grant No.11971344).
文摘In this paper,we will prove that the system of differential-difference equations{((f(z)f′(z))^(n)+p^(2)_(1)(z)g m(z+η)=Q1(z),(g(z)g′(z))^(n)+p^(2)_(2)(z)f m(z+η)=Q_(2)(z),has no transcendental entire solution(f(z),g(z))withρ(f,g)<∞such thatλ(f)<ρ(f)andλ(g)<ρ(g),where P_(1()z),Q_(1)(z),P_(2)(z)and Q_(2)(z)are non-vanishing polynomials.
基金supported partly by the National Natural Science Foundation of China(11926201,12171050)the National Science Foundation of Guangdong Province(2018A030313508)。
文摘In this paper,we consider entire solutions of higher order homogeneous differential equations with the entire coefficients having the same order,and prove that the entire solutions are of infinite lower order.The properties on the radial distribution,the limit direction of the Julia set and the existence of a Baker wandering domain of the entire solutions are also discussed.
文摘A penetrating analysis into Hawthorne's writings of different periods and different angles brings us not only an astonishment at his unique understanding of evil, but also a definite awareness of his opposite but staunch position as a pessimist.Meanwhile, following the discussions about Melville and other writers, his influences of pessimistic ideas and belief in evil allow of no doubt. Subsequently, through an inquisition to the roots of this tragic attitude, his standpoint is found to be inevitable.
文摘Let f and g be two permutable transcendental entire functions. In this paper, we first prove that J(fg)=J(f n g m) for any positive integers n and m . Then we prove that the function h(p(z))+az ∈/ B , where h(z) is any transcendental entire function with h′(z)=0 having infinitely many solutions, p(z) is a polynomial with deg p ≥2 and a(≠0) ∈ C .
文摘Looking back at the history of landscape design, there are various styles and schools as well as numerous design concepts. From the perspective of philosophical epistemology, landscape design has experienced three periods, namely, apriorism, empiricism and transcendentalism. Combining the design phenomena in the history of garden design, this paper sorted out the evolution of landscape design in terms of methodology, epistemology and instrumentalism, in order to speculate on the macroscopic trajectory of the evolution of landscape cognitive model.
文摘Although Emerson, Thoreau and Hawthorne were all influenced by transcendentalism, they have different understanding of and attitudes towards nature and the concept of transcendentalism because of their cultural background. Through analyzing similarities and differences of their points of view of nature, people can find that they understand nature with an increasingly deeper tendency. Firstly, Emerson only knew that people could get comfort from nature in the spiritual world, and then Thoreau found out that people could make use of nature from a more substantial way. At last, Hawthorne set a dialectical view of how people should live with nature. As a result, people learn what kind of relationship people should set with nature. Not only can people benefit from nature in their spiritual world, but also they make use of resources in it. This is the reason why people should protect nature during the process of utilizing it.
基金supported by the National Natural Science Foundation of China(Grant No.10802043)
文摘In this paper, we investigate the well-known problem of a finite width strip with a single edge crack, which is useful in basic engineering and material science. By extending the configuration to a two-dimensional decagonal quasicrystal, we obtain the analytic solutions of modesⅠand Ⅱ using the transcendental function conformal mapping technique. Our calculation results provide an accurate estimate of the stress intensity factors K_Ⅰ and K_Ⅱ, which can be expressed in a quite simple form and are essential in the fracture theory of quasicrystals. Meanwhile, we suggest a generalized cohesive force model for the configuration to a two-dimensional decagonal quasicrystal. The results may provide theoretical guidance for the fracture theory of two-dimensional decagonal quasicrystals.
文摘By using the Nevanlinna value distribution theory, we will mainly investigate the form of entire solutions with finite order on a type of system of differential-difference equations and a type of differential-difference equations, two interesting results are obtained. And it extends some results concerning complex differential（difference） equations to the systems of differential-difference equations.
文摘For solving nonlinear and transcendental equation f(x)=0 , a singnificant improvement on Newton's method is proposed in this paper. New “Newton Like” methods are founded on the basis of Liapunov's methods of dynamic system. These new methods preserve quadratic convergence and computational efficiency of Newton's method, and remove the monotoneity condition imposed on f(x):f′(x)≠0 .
文摘In 1965 Baker first considered the distribution of Julia sets of transcendental entire maps and proved that the Julia set of an entire map cannot be contained in any finite set of straight lines.In this paper we shall consider the distribution problem of Julia sets of meromorphic maps.We shall show that the Julia set of a transcendental meromorphic map with at most finitely many poles cannot be contained in any finite set of straight lines.Meanwhile,examples show that the Julia sets of meromorphic maps with infinitely many poles may indeed be contained in straight lines.Moreover,we shall show that the Julia set of a transcendental analytic self-map of C*can neither contain a free Jordan arc nor be contained in any finite set of straight lines.
基金supported by the National Natural Science Foundation of China(Nos.12172154 and 11925204)the 111 Project of China(No.B14044)the National Key Project of China(No.GJXM92579)。
文摘The wavelet multiresolution interpolation for continuous functions defined on a finite interval is developed in this study by using a simple alternative of transformation matrix.The wavelet multiresolution interpolation Galerkin method that applies this interpolation to represent the unknown function and nonlinear terms independently is proposed to solve the boundary value problems with the mixed Dirichlet-Robin boundary conditions and various nonlinearities,including transcendental ones,in which the discretization process is as simple as that in solving linear problems,and only common two-term connection coefficients are needed.All matrices are independent of unknown node values and lead to high efficiency in the calculation of the residual and Jacobian matrices needed in Newton’s method,which does not require numerical integration in the resulting nonlinear discrete system.The validity of the proposed method is examined through several nonlinear problems with interior or boundary layers.The results demonstrate that the proposed wavelet method shows excellent accuracy and stability against nonuniform grids,and high resolution of localized steep gradients can be achieved by using local refined multiresolution grids.In addition,Newton’s method converges rapidly in solving the nonlinear discrete system created by the proposed wavelet method,including the initial guess far from real solutions.
基金Supported by the National Natural Science Foundation of China(Grant Nos.1226102311861023)the Foundation of Science and Technology Project of Guizhou Province of China(Grant No.[2018]5769-05).
文摘Let q be a finite nonzero complex number,let the q-difference equation f(qz)f(z/p)=R(z,f(z))=P(z,f(z))/Q(z,f(z))=Σ_(j=0)^(p)=0aj(z)f^(j)(z)/Σ_(k=0)b_(k)(z)f^(k)(z)(+)admit a nonconstant meromorphic solution f,where p and q are nonnegative integers,a_(j)with 0≤j≤p and b_(k)with 0≤k≤q polynomials in zwith a_(p)≠0 and b_(q)≠0 such that P(z,f(z))and Q(z,f(z))are relatively prime polynomials in f(z)and let m=p-q≥3.Then,(+)has no transcendental meromorphic solution when|q|=1,and the lower bound of the lower order of f is obtained when m≥3 and |q|≠1.
